
When \(g\)  has vanishing Weyl tensor, the distribution is called maximally symmetric and has split \(G_2\)  as its group of local symmetries. For further details, see the introduction to [1]} and Section 5 of [2]}. For further discussion on the relationship between maximally symmetric \((2,3,5)\) -distributions and the automorphism group of the split octonions, see Section 2 of [3]}.
